Finding the Third Proportional to 4,834 and 5,884

Step by Step Solution

1. Step 1: Write the proportion equation
   4,834 : 5,884 = 5,884 : x
2. Step 2: Convert to fraction form
   4,834/5,884 = 5,884/x
3. Step 3: Cross multiply
   4,834x = 5,884 × 5,884
4. Step 4: Simplify right side
   4,834x = 34,621,456
5. Step 5: Solve for x
   x = 34,621,456/4,834
6. Step 6: Final answer
   x = 7,162.07